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13134523506 = 2313246727737
BaseRepresentation
bin11000011101110000…
…01110110001110010
31020220100220221000120
430032320032301302
5203344414223011
610011154231110
7643325415306
oct141670166162
936810827016
1013134523506
115630106a05
122666885496
131314212400
148c8585d06
1551d175a06
hex30ee0ec72

13134523506 has 48 divisors (see below), whose sum is σ = 28507119264. Its totient is φ = 4032592512.

The previous prime is 13134523469. The next prime is 13134523513. The reversal of 13134523506 is 60532543131.

13134523506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459670 + ... + 487406.

It is an arithmetic number, because the mean of its divisors is an integer number (593898318).

Almost surely, 213134523506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134523506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253559632).

13134523506 is an abundant number, since it is smaller than the sum of its proper divisors (15372595758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13134523506 is a wasteful number, since it uses less digits than its factorization.

13134523506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28235 (or 28222 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 13134523506 in words is "thirteen billion, one hundred thirty-four million, five hundred twenty-three thousand, five hundred six".

Divisors: 1 2 3 6 13 26 39 78 169 338 467 507 934 1014 1401 2802 6071 12142 18213 27737 36426 55474 78923 83211 157846 166422 236769 360581 473538 721162 1081743 2163486 4687553 9375106 12953179 14062659 25906358 28125318 38859537 77719074 168391327 336782654 505173981 1010347962 2189087251 4378174502 6567261753 13134523506